Search results for "Tableaux semi standards et quasi standards"

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Le cône diamant

2010

The diamond cone was introduced by N. J. Wildberger for the Lie algebra sl(n;R). It is a combinatoric presentation for the space C[N] of polynomials functions on the nilpotent factor N in the Iwasawa decomposition of SL(n;R). This presentation describes the natural layering of this indecomposable N-module. This basis can be indexeded by using some semi standard Young tableaux. We realize the algebra C[N] as a quotient of the shape algebra S_ for SL(n;R). Let us call reduced shape algebra this quotient. It is possible to select a family of semi standard Young tableaux, the quasi standard tableaux, in such a manner to get a basis for the reduced shape algebra. In the present thesis, this cons…

[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM][ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Tableaux semi standards et quasi standardsReprésentations et algèbre de forme[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]No english keywordsAlgèbres de Lie semi simples et nilpotentesTableaux de Young
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